A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications

Norio Yoshida

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 3, page 306-317
  • ISSN: 0392-7881

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Yoshida, Norio. "A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.3 (1975): 306-317. <http://eudml.org/doc/291300>.

@article{Yoshida1975,
author = {Yoshida, Norio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {3},
number = {3},
pages = {306-317},
publisher = {Accademia Nazionale dei Lincei},
title = {A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications},
url = {http://eudml.org/doc/291300},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Yoshida, Norio
TI - A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/3//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 3
SP - 306
EP - 317
LA - eng
UR - http://eudml.org/doc/291300
ER -

References

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  2. CHAN, C. Y. and YOUNG, E. C. (1972) - Comparison theorems for fourth order quasi-linear matrix differential inequalities, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 52, 334-341. MR348243
  3. CHOW, S.-N. and DUNNINGER, D. R. (1974) - Local uniqueness theorems for a class of higher order elliptic equations, «SIAM J. Math. Anal.», 5, 224-229. Zbl0289.35033MR382842DOI10.1137/0505024
  4. DIAZ, J. B. and DUNNINGER, D. R. (1974) - Sturmian theorems for a class of elliptic equations of order 4 m, «Appl. Anal.», 3, 333-344. Zbl0304.35004MR470427DOI10.1080/00036817408839075
  5. DUNNINGER, D. R. (1970) - A Picone identity for non-self-adjoint elliptic operators, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 48, 133-139. Zbl0195.39403MR299926
  6. DUNNINGER, D. R. (1971) - A Picone integral identity for a class of fourth order elliptic differential inequalities, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 50, 630-641. Zbl0249.35023MR312039
  7. KREITH, K. (1968) - A generalized Picone identity, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 45, 217-220. Zbl0194.42002MR251371
  8. KREITH, K. (1970) - A comparison theorem for general elliptic equations with mixed boundary conditions, «J. Differential Equations», 8, 537-541. Zbl0206.11304MR265737DOI10.1016/0022-0396(70)90026-4
  9. KREITH, K. (1971) - A Picone identity for strongly elliptic systems, «Duke Math. J.», 38, 473-481. Zbl0221.35026MR280844
  10. KREITH, K. and TRAVIS, C. C. (1971) - On a comparison theorem for strongly elliptic systems, «J. Differential Equations», 10, 173-178. Zbl0214.35904MR294842DOI10.1016/0022-0396(71)90104-5
  11. KUSANO, T. and YOSHIDA, N. - Comparison and nonoscillation theorems for fourth order elliptic systems, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.» (to appear). Zbl0335.35007MR425319
  12. PICONE, M. (1911) - Un teorema sulle soluzioni delle equazioni lineari ellittiche autoaggiunte alle derivate parziali del secondo-ordine, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 20, 213-219. Zbl42.0391.01
  13. SWANSON, C. A. (1972) - Remarks on Picone's identity and related identities, «Atti Accad. Naz. Lincei, Mem. Cl. Sci. Fis. Mat. Natur.», sez. I, 11, 3-15. MR594988
  14. WONG, P. K. (1972) - Integral inequalities of Wirtinger-type and fourth-order elliptic differential inequalities, «Pacific J. Math.», 40, 739-751. Zbl0228.35037MR306686
  15. YOSHIDA, N. (1975) - Nonoscillation criteria for fourth order elliptic equations, «Hiroshima Math. J.», 5, 23-31. Zbl0305.35005MR387788

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